# How to construct an equilateral triangle using a pair of compasses

## Step 1

Draw line segment AB, whose length is equal to a. Construction an equilateral triangle using a pair of compasses. Step 1

## Step 2

Take a pair of compasses. Put the fixed part of the compasses at point A and the moving part at point B. Draw a circle.

The length of the radius of the circle will be equal to the length of side (АВ–а). Construction an equilateral triangle using a pair of compasses. Step 2

## Step 3

Now put the fixed part of the compasses at point B and the moving part at point A. Draw a circle.

So, the length of the radius of the circle constructed will be equal to the length of the side (АВ – а). Construction an equilateral triangle using a pair of compasses. Step 3

## Step 4

The circles intersect at two points. If points A and B are connected with one of these points, a regular triangle will be constructed.

The triangle constructed will be regular, as all the sides will be equal in length to the lengths of the radiuses of the circles, which are equal to a.  Construction an equilateral triangle using a pair of compasses. Step 4